Published December 21, 2004 | Version v1
Journal article Metadata-only

Summation by parts and dissipation for domains with excised regions

Creators

  • 1. Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Baton Rouge, LA 70803-4001 (United States)
  • 2. FaMAF, Universidad Nacional de Cordoba, Cordoba 5000 (Argentina)

Description

We discuss finite difference techniques for hyperbolic equations in non-trivial domains, as those that arise when simulating black-hole spacetimes. In particular, we construct dissipative and difference operators that satisfy the summation by parts property in domains with excised multiple cubic regions. This property can be used to derive semi-discrete energy estimates for the associated initial-boundary value problem which in turn can be used to prove numerical stability

Availability note (English)

Available online at http://stacks.iop.org/0264-9381/21/5735/cqg4_24_004.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0264-9381/21/5735/cqg4_24_004.pdf; http://www.iop.org/;
DOI
10.1088/0264-9381/21/24/004;
PII
S0264-9381(04)84297-7;

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
21
Journal Issue
24
Journal Page Range
p. 5735-5757
ISSN
0264-9381
CODEN
CQGRDG

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36031273
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BLACK HOLES; BOUNDARY-VALUE PROBLEMS; CALCULATION METHODS; MATHEMATICAL OPERATORS; SPACE-TIME